Then we can integrate f(u), and finish by putting g(x) back as u.Like this:Example: ∫cos(x2) 2x dx We know (from above) that it is in the right form to do the substitution: Now integrate: ∫cos(u) du = sin(u) + C And finally put u=x2 back again: sin(x2) + C...
Calculus II: Lesson 9: Integration by Substitution: Worked ExamplesJack Wagner
integration by substitution 英[ˌɪntɪˈgreɪʃən bai ˌsʌbstɪˈtu:ʃən] 美[ˌɪntɪˈɡreʃən baɪ ˌsʌbstɪˈtuʃən] 释义 代换积分法 行业词典 数学 换元积分法
integration by substitution 代换积分法 effect of substitution 替代效应 electrophilic substitution 亲电子取代作用 substitution swap 替代掉换系债券掉换(*bond swap)的一种,指为了改善原有债券的一个或数个性质(品质、收益率等),而同时卖出某一证券以买入另一种证券的操作方式。 substitution class phr. n....
we have ∫f(x) dx = ∫f(v)v' du Example: ∫sqrt(1-x^2) dx Let x=sin u dx/du=cos u =∫sqrt(1-sin^2 u) cos u du =∫cos^2 u du By using double angle formula one more substitution =(sin 2u)/2 + u/2 + C x=sin u u=arcsin x =(sin (2arcsin x))/2...
Sixth Term Examination Paper (STEP) 剑桥大学数学本科入学测试, 本人ISFP,不善言辞, 如有任何疑问,欢迎评论区留言,一起讨论,所有理解与解析皆为个人行为, 视频播放量 13、弹幕量 0、点赞数 1、投硬币枚数 0、收藏人数 0、转发人数 0, 视频作者 自由喵cat, 作者简介
[51] Integration - By ... 928播放 待播放 [52] Integration - By ... 1483播放 02:50 [53] Integration - By ... 1293播放 03:04 [54] Integration - By ... 1340播放 01:56 [55] Integration - By ... 824播放 02:35 [56] Integration - By ... 1024播放 02:08 [57] Inte...
substitutionintegration积分法代换integrandtrigonometric 1 10.1 Integration by Substitution Each basic rule of integration that you have studied so far was derived from a corresponding differentiation rule. Even though you have learned all the necessary tools for differentiating exponential, logarithmic, trigono...
1. Integration by Substitution Sometimes, a well-chosen substitution will reduce a complex integration problem into a straightforward one. Example: Consider this problem, \(I = \int {\frac{{\log x}}{x}} dx\) We do not have a formula that gives antiderivative of \(\log x\). Here we...
托马斯微积分课件4.2 Intergal Rules; Integration by substitution Chapter4Integration 4.1IndefiniteIntegrals,DifferentialEquations,andModeling4.2IntegralRules,IntegrationbySubstitution4.3EstimatingwithFiniteSums 4.4RiemannSumsandDefiniteIntegrals4.5TheMeanValueandFundamentalTheorems 4.6SubstitutioninDefiniteIntegrals4....